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Finding the Third Proportional to 320,259,310 and 699,242,972

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Solution

The third proportional to 320,259,310 and 699,242,972 is: 1,526,702,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,259,310 : 699,242,972 = 699,242,972 : x
  2. Step 2: Convert to fraction form
    320,259,310/699,242,972 = 699,242,972/x
  3. Step 3: Cross multiply
    320,259,310x = 699,242,972 × 699,242,972
  4. Step 4: Simplify right side
    320,259,310x = 488,940,733,891,392,768
  5. Step 5: Solve for x
    x = 488,940,733,891,392,768/320,259,310
  6. Step 6: Final answer
    x = 1,526,702,639.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.